how do i expand and simplify
(2x+5) (3x-4)
http://www.freemathhelp.com/using-foil.html
use F.O.I.L
it means: First Outside Inside Last
(look it up! :))
To expand and simplify the expression (2x + 5)(3x - 4), you can use the distributive property. According to the distributive property, you need to multiply each term from the first factor with each term from the second factor and then simplify the resulting expression.
Let's break down the steps:
Step 1: Multiply the first term of the first factor (2x) with each term in the second factor (3x and -4).
(2x) * (3x) = 6x^2
(2x) * (-4) = -8x
Step 2: Multiply the second term of the first factor (5) with each term in the second factor (3x and -4).
(5) * (3x) = 15x
(5) * (-4) = -20
Step 3: Combine the terms obtained in steps 1 and 2.
6x^2 + (-8x) + 15x + (-20)
Step 4: Simplify the expression by combining like terms.
6x^2 + 7x - 20
Therefore, by expanding and simplifying (2x + 5)(3x - 4), you get the final expression 6x^2 + 7x - 20.